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Pinholes Meet Fabry-Pérot: Perfect and Imperfect Transmission of Waves through Small Apertures

机译:针孔与Fabry-Pérot相遇:通过小孔的波的完美和不完美传输

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Waves, of wavelength λ, transmit poorly through apertures of dimensions ??λ. Here it is shown that coupling of a subwavelength aperture to an electromagnetic oscillator makes it possible for a focused, diffraction-limited beam that impinges on the aperture to undergo perfect transmission. Ignoring nonradiative losses, and for apertures with closed boundaries in a metallic screen, the transmitted power at the oscillator’s natural frequency is enhanced by a factor of (λ/?)6 compared with the nonresonant case. As a nontrivial extension to apertures with open boundaries, an analytically solvable problem is introduced and analyzed, which involves a pair of arbitrarily small slits in a two-dimensional waveguide. The system displays perfect transmission at a frequency corresponding to that of a quasilocalized, cavitylike mode bound to the slits, the frequency of which is below that of the cutoff mode of the continuum. In contrast, and remarkably, the Fabry-Pérot-like resonance with the extended cutoff mode leads to imperfect transmission, comparable to that of an individual, nonresonated slit. An explanation of this single-slit-like behavior is presented, which also applies to the closely related phenomenon of light funneling concerning transmission through subwavelength channels [see F. Pardo et al., Light Funneling Mechanism Explained by Magnetoelectric Interference, Phys. Rev. Lett. 107, 093902 (2011), and references therein].
机译:波长为λ的波不能很好地通过尺寸为λλ的孔。此处显示出,亚波长孔口与电磁振荡器的耦合使得入射到孔口的聚焦的,衍射受限的光束可以进行完美透射。忽略非辐射损耗,对于金属屏中具有封闭边界的孔,与非谐振情况相比,在振荡器固有频率处的发射功率提高了(λ/?)6倍。作为具有开放边界的孔的重要扩展,引入并分析了可解析的问题,该问题涉及二维波导中的一对任意小的狭缝。该系统以对应于与狭缝结合的准局部,腔状模式的频率显示完美的透射,该频率低于连续体的截止模式的频率。相反,值得注意的是,具有扩展截止模式的Fabry-Pérot样共振导致传输不完美,与单个非共振狭缝的传输不相上下。提出了这种单缝状行为的解释,它也适用于与通过亚波长通道传输有关的光漏斗现象密切相关的现象[请参见F. Pardo等,《磁电干扰解释的光漏斗机理》,物理。莱特牧师107,093902(2011),及其中的参考文献]。

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